A) Erdos Renyi Graph

B) Complemente

C) Adjecency Materix

Matrix

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                 
 [1,] . . . . . . . . 1 1 . . . . . . 1 . . . . . 1 . . 1 . . . .
 [2,] . . 1 . . . 1 . 1 . . . . . . . 1 . . . . 1 . 1 . . . . . .
 [3,] . 1 . . . . . . . . . 1 . . . . . . . . . 1 1 . . . 1 . . .
 [4,] . . . . . . . . . 1 1 . . . 1 . . . . . 1 . . 1 . 1 . . . .
 [5,] . . . . . 1 . 1 . . . . . 1 1 . 1 . 1 . . . . 1 . . . . . .
 [6,] . . . . 1 . . . . . . . . 1 . 1 . . . . . . . 1 . . . . 1 1
 [7,] . 1 . . . . . 1 1 . . 1 1 . . . . 1 . . . 1 1 1 . . . . 1 .
 [8,] . . . . 1 . 1 . . . . . . . 1 . . . . . . 1 . 1 . . . . . 1
 [9,] 1 1 . . . . 1 . . . 1 . . . 1 1 1 . . . . . . 1 1 . 1 . . .
[10,] 1 . . 1 . . . . . . . . . 1 . . 1 . . 1 . . . . . . 1 1 1 1
[11,] . . . 1 . . . . 1 . . 1 . . . 1 . . . . . . . 1 . . . 1 . .
[12,] . . 1 . . . 1 . . . 1 . . . 1 . . 1 . . 1 . . . . 1 . . . .
[13,] . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . .
[14,] . . . . 1 1 . . . 1 . . . . 1 . . . . . 1 . 1 . . . . . 1 .
[15,] . . . 1 1 . . 1 1 . . 1 . 1 . . 1 . . . . 1 1 . . 1 1 . . .
[16,] . . . . . 1 . . 1 . 1 . . . . . . . 1 1 . 1 1 . 1 . . . 1 .
[17,] 1 1 . . 1 . . . 1 1 . . . . 1 . . 1 1 . . . . . . . . . 1 .
[18,] . . . . . . 1 . . . . 1 . . . . 1 . . 1 . . . . 1 . . . . 1
[19,] . . . . 1 . . . . . . . . . . 1 1 . . . . . . . . . . . . 1
[20,] . . . . . . . . . 1 . . . . . 1 . 1 . . . . . . . 1 . . 1 .
[21,] . . . 1 . . . . . . . 1 . 1 . . . . . . . 1 . 1 . . 1 1 . 1
[22,] . 1 1 . . . 1 1 . . . . . . 1 1 . . . . 1 . . . . 1 1 . . .
[23,] 1 . 1 . . . 1 . . . . . . 1 1 1 . . . . . . . . . . . 1 . 1
[24,] . 1 . 1 1 1 1 1 1 . 1 . . . . . . . . . 1 . . . . 1 1 . 1 .
[25,] . . . . . . . . 1 . . . . . . 1 . 1 . . . . . . . 1 . . . .
[26,] 1 . . 1 . . . . . . . 1 . . 1 . . . . 1 . 1 . 1 1 . . . . 1
[27,] . . 1 . . . . . 1 1 . . . . 1 . . . . . 1 1 . 1 . . . . . .
[28,] . . . . . . . . . 1 1 . . . . . . . . . 1 . 1 . . . . . . .
[29,] . . . . . 1 1 . . 1 . . . 1 . 1 1 . . 1 . . . 1 . . . . . .
[30,] . . . . . 1 . 1 . 1 . . . . . . . 1 1 . 1 . 1 . . 1 . . . .

D) Some powers of the matrix

Matrix^2

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                     
 [1,] 5 2 1 2 1 .  2 .  1 1 1 1 . 2  4 2 2 1 1 2 . 1 .  2 2 . 2 2 2 3
 [2,] 2 6 1 1 2 1  3 3  3 1 2 2 1 .  3 2 1 2 1 . 2 2 2  2 1 2 4 . 3 .
 [3,] 1 1 5 . . .  4 1  2 1 1 . . 1  4 2 1 1 . . 3 2 .  2 . 2 1 1 . 1
 [4,] 2 1 . 6 2 1  1 2  3 . 1 4 . 3  1 1 2 . . 2 1 3 1  3 1 2 4 3 2 3
 [5,] 1 2 . 2 7 2  2 2  3 2 1 1 . 2  3 2 2 1 1 . 2 2 2  2 . 2 2 . 4 3
 [6,] . 1 . 1 2 6  2 3  2 3 2 . . 2  2 1 2 1 3 2 3 1 3  2 1 2 1 . 3 .
 [7,] 2 3 4 1 2 2 10 2  2 1 3 1 . 2  5 4 4 1 . 2 3 2 .  4 2 3 3 1 1 3
 [8,] . 3 1 2 2 3  2 6  3 1 1 2 1 2  2 1 2 2 2 . 3 2 3  2 . 4 3 . 2 .
 [9,] 1 3 2 3 3 2  2 3 10 3 2 3 1 1  2 2 3 3 2 1 2 5 4  4 1 4 2 1 4 .
[10,] 1 1 1 . 2 3  1 1  3 9 2 . . 1  4 2 2 3 2 1 5 1 4  3 . 4 . . 3 .
[11,] 1 2 1 1 1 2  3 1  2 2 6 . . .  3 1 1 1 1 1 4 1 2  2 2 3 2 . 2 .
[12,] 1 2 . 4 1 .  1 2  3 . . 7 1 2  1 1 2 1 . 2 . 5 3  4 2 1 3 2 1 3
[13,] . 1 . . . .  . 1  1 . . 1 1 .  . . . 1 . . . 1 1  1 . . . . 1 .
[14,] 2 . 1 3 2 2  2 2  1 1 . 2 . 7  2 3 4 . 1 2 . 2 1  4 . 1 3 3 2 4
[15,] 4 3 4 1 3 2  5 2  2 4 3 1 . 2 11 3 2 2 2 1 5 3 1  6 2 3 2 1 2 3
[16,] 2 2 2 1 2 1  4 1  2 2 1 1 . 3  3 9 3 2 . 1 1 . .  4 1 3 2 2 2 3
[17,] 2 1 1 2 2 2  4 2  3 2 1 2 . 4  2 3 9 . 1 3 . 2 2  4 2 2 3 1 1 3
[18,] 1 2 1 . 1 1  1 2  3 3 1 1 1 .  2 2 . 6 2 . 2 1 2  1 . 4 . . 3 .
[19,] 1 1 . . 1 3  . 2  2 2 1 . . 1  2 . 1 2 4 1 1 1 2  1 1 1 . . 2 .
[20,] 2 . . 2 . 2  2 .  1 1 1 2 . 2  1 1 3 . 1 5 . 2 1  2 3 . 1 1 2 3
[21,] . 2 3 1 2 3  3 3  2 5 4 . . .  5 1 . 2 1 . 8 1 3  2 . 5 2 . 2 .
[22,] 1 2 2 3 2 1  2 2  5 1 1 5 1 2  3 . 2 1 1 2 1 9 4  6 2 1 3 1 2 3
[23,] . 2 . 1 2 3  . 3  4 4 2 3 1 1  1 . 2 2 2 1 3 4 8  1 1 3 2 . 3 .
[24,] 2 2 2 3 2 2  4 2  4 3 2 4 1 4  6 4 4 1 1 2 2 6 1 12 2 1 2 2 2 4
[25,] 2 1 . 1 . 1  2 .  1 . 2 2 . .  2 1 2 . 1 3 . 2 1  2 4 . 1 . 1 2
[26,] . 2 2 2 2 2  3 4  4 4 3 1 . 1  3 3 2 4 1 . 5 1 3  1 . 9 3 . 2 .
[27,] 2 4 1 4 2 1  3 3  2 . 2 3 . 3  2 2 3 . . 1 2 3 2  2 1 3 7 2 2 2
[28,] 2 . 1 3 . .  1 .  1 . . 2 . 3  1 2 1 . . 1 . 1 .  2 . . 2 4 1 3
[29,] 2 3 . 2 4 3  1 2  4 3 2 1 1 2  2 2 1 3 2 2 2 2 3  2 1 2 2 1 8 2
[30,] 3 . 1 3 3 .  3 .  . . . 3 . 4  3 3 3 . . 3 . 3 .  4 2 . 2 3 2 8

Matrix^5

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                          
 [1,]  414  670  438  590  697  682  811  759 1099  898  617  602 129  591
 [2,]  670  824  662  846  831  703 1250  834 1271  843  701  896 154  900
 [3,]  438  662  364  679  615  510  731  675  964  570  492  756 144  600
 [4,]  590  846  679  672  847  823 1180  882 1204 1142  862  643 128  714
 [5,]  697  831  615  847  904  853 1218  915 1233  973  738  836 143  983
 [6,]  682  703  510  823  853  646 1066  708 1041  752  570  797 123  951
 [7,]  811 1250  731 1180 1218 1066 1392 1306 1927 1282  976 1300 285 1099
 [8,]  759  834  675  882  915  708 1306  808 1187  853  714  906 141  970
 [9,] 1099 1271  964 1204 1233 1041 1927 1187 1670 1240 1114 1190 184 1321
[10,]  898  843  570 1142  973  752 1282  853 1240  776  670 1089 139 1236
[11,]  617  701  492  862  738  570  976  714 1114  670  542  893 144  867
[12,]  602  896  756  643  836  797 1300  906 1190 1089  893  598 121  680
[13,]  129  154  144  128  143  123  285  141  184  139  144  121  16  153
[14,]  591  900  600  714  983  951 1099  970 1321 1236  867  680 153  754
[15,]  987 1379  848 1513 1451 1226 1710 1522 2144 1384 1100 1550 275 1469
[16,]  674  959  557  914  985  976 1135 1018 1523 1115  872  959 199  877
[17,]  795 1112  714  898 1146 1014 1321 1106 1610 1328  957  885 200  924
[18,]  603  568  431  725  615  498  976  552  828  509  482  755  94  791
[19,]  435  425  323  507  531  385  708  426  619  442  345  484  62  606
[20,]  404  615  419  473  640  598  757  650  914  839  564  444 106  512
[21,]  849  862  606 1202  953  698 1264  889 1323  734  646 1241 174 1229
[22,]  848 1232  956  990 1150 1021 1735 1241 1591 1294 1097  938 173 1045
[23,]  865  816  745  900  883  672 1431  764 1081  821  704  848 104 1082
[24,] 1019 1592 1020 1394 1583 1435 1980 1675 2240 1692 1405 1321 264 1344
[25,]  333  534  372  434  523  467  661  566  821  639  460  429  98  435
[26,]  981  968  713 1207 1033  806 1460  929 1440  913  798 1274 184 1242
[27,]  721  981  791  870  990  897 1353 1007 1492 1219  908  905 179  903
[28,]  259  477  327  334  474  517  561  526  711  717  513  325  80  321
[29,]  827  899  716  960 1001  924 1469  948 1347 1092  829  936 141 1154
[30,]  477  906  582  658  909  983 1021 1058 1372 1281  878  642 166  659
                                                                       
 [1,]  987  674  795  603 435 404  849  848  865 1019 333  981  721 259
 [2,] 1379  959 1112  568 425 615  862 1232  816 1592 534  968  981 477
 [3,]  848  557  714  431 323 419  606  956  745 1020 372  713  791 327
 [4,] 1513  914  898  725 507 473 1202  990  900 1394 434 1207  870 334
 [5,] 1451  985 1146  615 531 640  953 1150  883 1583 523 1033  990 474
 [6,] 1226  976 1014  498 385 598  698 1021  672 1435 467  806  897 517
 [7,] 1710 1135 1321  976 708 757 1264 1735 1431 1980 661 1460 1353 561
 [8,] 1522 1018 1106  552 426 650  889 1241  764 1675 566  929 1007 526
 [9,] 2144 1523 1610  828 619 914 1323 1591 1081 2240 821 1440 1492 711
[10,] 1384 1115 1328  509 442 839  734 1294  821 1692 639  913 1219 717
[11,] 1100  872  957  482 345 564  646 1097  704 1405 460  798  908 513
[12,] 1550  959  885  755 484 444 1241  938  848 1321 429 1274  905 325
[13,]  275  199  200   94  62 106  174  173  104  264  98  184  179  80
[14,] 1469  877  924  791 606 512 1229 1045 1082 1344 435 1242  903 321
[15,] 1940 1396 1725  989 751 951 1406 1973 1585 2287 774 1710 1721 762
[16,] 1396  876 1107  764 643 705 1067 1339 1197 1535 601 1168 1043 418
[17,] 1725 1107 1126  948 690 631 1287 1288 1180 1651 555 1386 1102 445
[18,]  989  764  948  324 284 607  497  920  538 1210 501  599  793 446
[19,]  751  643  690  284 218 386  407  600  388  868 302  504  571 324
[20,]  951  705  631  607 386 324  802  637  686  879 267  913  605 236
[21,] 1406 1067 1287  497 407 802  736 1494  866 1856 636  897 1248 734
[22,] 1973 1339 1288  920 600 637 1494 1326 1105 1823 590 1612 1346 526
[23,] 1585 1197 1180  538 388 686  866 1105  624 1661 568  945 1054 628
[24,] 2287 1535 1651 1210 868 879 1856 1823 1661 2256 767 2059 1757 652
[25,]  774  601  555  501 302 267  636  590  568  767 232  774  544 214
[26,] 1710 1168 1386  599 504 913  897 1612  945 2059 774  990 1271 728
[27,] 1721 1043 1102  793 571 605 1248 1346 1054 1757 544 1271 1042 457
[28,]  762  418  445  446 324 236  734  526  628  652 214  728  457 122
[29,] 1626 1237 1371  663 539 784 1027 1252  919 1819 624 1145 1115 582
[30,] 1354  814  865  882 639 436 1292  981 1169 1198 371 1385  875 245
               
 [1,]  827  477
 [2,]  899  906
 [3,]  716  582
 [4,]  960  658
 [5,] 1001  909
 [6,]  924  983
 [7,] 1469 1021
 [8,]  948 1058
 [9,] 1347 1372
[10,] 1092 1281
[11,]  829  878
[12,]  936  642
[13,]  141  166
[14,] 1154  659
[15,] 1626 1354
[16,] 1237  814
[17,] 1371  865
[18,]  663  882
[19,]  539  639
[20,]  784  436
[21,] 1027 1292
[22,] 1252  981
[23,]  919 1169
[24,] 1819 1198
[25,]  624  371
[26,] 1145 1385
[27,] 1115  875
[28,]  582  245
[29,] 1108 1119
[30,] 1119  466

Matrix^15

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                      
 [1,] 423062960022 5.458344e+11 385809257837 5.341710e+11 5.634876e+11
 [2,] 545834416175 7.019260e+11 496578597519 6.889340e+11 7.250517e+11
 [3,] 385809257837 4.965786e+11 351056567642 4.872370e+11 5.128841e+11
 [4,] 534171047654 6.889340e+11 487237036534 6.741100e+11 7.112026e+11
 [5,] 563487620303 7.250517e+11 512884139713 7.112026e+11 7.488732e+11
 [6,] 493254652527 6.337131e+11 448396526133 6.225207e+11 6.547402e+11
 [7,] 745373760712 9.602466e+11 678803660884 9.412428e+11 9.916002e+11
 [8,] 563367163324 7.240342e+11 512343232328 7.109416e+11 7.479705e+11
 [9,] 798332447356 1.026551e+12 726398794335 1.007388e+12 1.060357e+12
[10,] 598658088439 7.683683e+11 543684368860 7.556488e+11 7.940343e+11
[11,] 474840061047 6.101038e+11 431589928510 5.994399e+11 6.303408e+11
[12,] 535224143194 6.904095e+11 488338967155 6.753484e+11 7.126728e+11
[13,]  95846986188 1.232312e+11  87239758999 1.208958e+11 1.272814e+11
[14,] 556694181744 7.184287e+11 507886775113 7.027341e+11 7.416087e+11
[15,] 874795479971 1.125978e+12 796121647817 1.104603e+12 1.162947e+12
[16,] 601937090347 7.756910e+11 548327149099 7.600730e+11 8.009814e+11
[17,] 660857937532 8.520789e+11 602456357421 8.342169e+11 8.797249e+11
[18,] 409100882376 5.249052e+11 371495139778 5.163043e+11 5.424514e+11
[19,] 304691220792 3.912485e+11 276891722649 3.844939e+11 4.042668e+11
[20,] 374444157784 4.832748e+11 341666190993 4.726408e+11 4.988536e+11
[21,] 610951310379 7.840062e+11 554711993083 7.712711e+11 8.102193e+11
[22,] 722982845009 9.316168e+11 658989825572 9.123574e+11 9.618793e+11
[23,] 568575210787 7.301096e+11 516861158850 7.172943e+11 7.543485e+11
[24,] 932777530596 1.202506e+12 850213664489 1.177546e+12 1.241541e+12
[25,] 318483949066 4.108500e+11 290467067026 4.020429e+11 4.241305e+11
[26,] 676885363503 8.690257e+11 614917582900 8.543601e+11 8.979733e+11
[27,] 631701647201 8.138571e+11 575603297372 7.973051e+11 8.403577e+11
[28,] 287950244608 3.722133e+11 263055743771 3.635147e+11 3.840934e+11
[29,] 638165550242 8.205869e+11 580608427035 8.053333e+11 8.476497e+11
[30,] 540114383921 6.980789e+11 493306477962 6.819322e+11 7.203956e+11
                                                                      
 [1,] 4.932547e+11 7.453738e+11 5.633672e+11 7.983324e+11 5.986581e+11
 [2,] 6.337131e+11 9.602466e+11 7.240342e+11 1.026551e+12 7.683683e+11
 [3,] 4.483965e+11 6.788037e+11 5.123432e+11 7.263988e+11 5.436844e+11
 [4,] 6.225207e+11 9.412428e+11 7.109416e+11 1.007388e+12 7.556488e+11
 [5,] 6.547402e+11 9.916002e+11 7.479705e+11 1.060357e+12 7.940343e+11
 [6,] 5.720161e+11 8.673339e+11 6.535813e+11 9.267970e+11 6.933531e+11
 [7,] 8.673339e+11 1.312106e+12 9.908633e+11 1.404585e+12 1.052051e+12
 [8,] 6.535813e+11 9.908633e+11 7.467447e+11 1.058823e+12 7.923551e+11
 [9,] 9.267970e+11 1.404585e+12 1.058823e+12 1.501124e+12 1.123819e+12
[10,] 6.933531e+11 1.052051e+12 7.923551e+11 1.123819e+12 8.400592e+11
[11,] 5.506741e+11 8.348721e+11 6.292614e+11 8.923670e+11 6.674164e+11
[12,] 6.238662e+11 9.432740e+11 7.124560e+11 1.009450e+12 7.573707e+11
[13,] 1.112518e+11 1.686697e+11 1.270909e+11 1.801606e+11 1.349223e+11
[14,] 6.492965e+11 9.810592e+11 7.415019e+11 1.050651e+12 7.882091e+11
[15,] 1.016786e+12 1.539299e+12 1.161712e+12 1.646978e+12 1.232967e+12
[16,] 7.007363e+11 1.059793e+12 8.004642e+11 1.134610e+12 8.500811e+11
[17,] 7.698690e+11 1.164072e+12 8.793093e+11 1.246130e+12 9.342766e+11
[18,] 4.736149e+11 7.188850e+11 5.412431e+11 7.676842e+11 5.738040e+11
[19,] 3.531091e+11 5.356639e+11 4.034734e+11 5.721667e+11 4.279523e+11
[20,] 4.367783e+11 6.599454e+11 4.987964e+11 7.067230e+11 5.302605e+11
[21,] 7.073882e+11 1.073479e+12 8.084672e+11 1.146769e+12 8.569605e+11
[22,] 8.415551e+11 1.273397e+12 9.612245e+11 1.362216e+12 1.021195e+12
[23,] 6.589296e+11 9.997708e+11 7.528702e+11 1.067568e+12 7.987132e+11
[24,] 1.086392e+12 1.642912e+12 1.240914e+12 1.758618e+12 1.318261e+12
[25,] 3.712489e+11 5.611544e+11 4.240148e+11 6.008368e+11 4.506054e+11
[26,] 7.842277e+11 1.189728e+12 8.961738e+11 1.271024e+12 9.502944e+11
[27,] 7.351626e+11 1.112379e+12 8.397345e+11 1.190185e+12 8.919823e+11
[28,] 3.365434e+11 5.078735e+11 3.842684e+11 5.443219e+11 4.087687e+11
[29,] 7.408876e+11 1.122723e+12 8.464145e+11 1.200014e+12 8.983599e+11
[30,] 6.311511e+11 9.524998e+11 7.206931e+11 1.020921e+12 7.665186e+11
                                                                      
 [1,] 4.748401e+11 5.352241e+11  95846986188 5.566942e+11 8.747955e+11
 [2,] 6.101038e+11 6.904095e+11 123231173606 7.184287e+11 1.125978e+12
 [3,] 4.315899e+11 4.883390e+11  87239758999 5.078868e+11 7.961216e+11
 [4,] 5.994399e+11 6.753484e+11 120895774634 7.027341e+11 1.104603e+12
 [5,] 6.303408e+11 7.126728e+11 127281395705 7.416087e+11 1.162947e+12
 [6,] 5.506741e+11 6.238662e+11 111251809964 6.492965e+11 1.016786e+12
 [7,] 8.348721e+11 9.432740e+11 168669723831 9.810592e+11 1.539299e+12
 [8,] 6.292614e+11 7.124560e+11 127090888012 7.415019e+11 1.161712e+12
 [9,] 8.923670e+11 1.009450e+12 180160615750 1.050651e+12 1.646978e+12
[10,] 6.674164e+11 7.573707e+11 134922313677 7.882091e+11 1.232967e+12
[11,] 5.300826e+11 6.007970e+11 107144619737 6.251264e+11 9.787247e+11
[12,] 6.007970e+11 6.765425e+11 121126296838 7.040500e+11 1.107017e+12
[13,] 1.071446e+11 1.211263e+11  21614107182 1.261149e+11 1.977678e+11
[14,] 6.251264e+11 7.040500e+11 126114905791 7.324158e+11 1.151525e+12
[15,] 9.787247e+11 1.107017e+12 197767792300 1.151525e+12 1.805360e+12
[16,] 6.745129e+11 7.616770e+11 136240661830 7.922186e+11 1.243421e+12
[17,] 7.411924e+11 8.358438e+11 149586985199 8.695614e+11 1.365988e+12
[18,] 4.559353e+11 5.174799e+11  92156822862 5.386093e+11 8.424387e+11
[19,] 3.399478e+11 3.853200e+11  68675139530 4.010884e+11 6.278670e+11
[20,] 4.205364e+11 4.735027e+11  84824252560 4.926186e+11 7.746226e+11
[21,] 6.808991e+11 7.730967e+11 137699024027 8.044593e+11 1.258013e+12
[22,] 8.103616e+11 9.140735e+11 163476789955 9.512315e+11 1.493980e+12
[23,] 6.344816e+11 7.187783e+11 128107555775 7.483360e+11 1.171882e+12
[24,] 1.045922e+12 1.179864e+12 211112724146 1.227424e+12 1.927730e+12
[25,] 3.574326e+11 4.028079e+11  72122916183 4.190434e+11 6.585589e+11
[26,] 7.549351e+11 8.563133e+11 152596290311 8.911306e+11 1.394465e+12
[27,] 7.078273e+11 7.988927e+11 142861844710 8.312221e+11 1.305061e+12
[28,] 3.240333e+11 3.641573e+11  65336055364 3.787664e+11 5.963808e+11
[29,] 7.133069e+11 8.069947e+11 144029330178 8.399111e+11 1.316488e+12
[30,] 6.076464e+11 6.831636e+11 122554875330 7.105231e+11 1.118434e+12
                                                                      
 [1,] 6.019371e+11 6.608579e+11 409100882376 304691220792 374444157784
 [2,] 7.756910e+11 8.520789e+11 524905206057 391248514597 483274814626
 [3,] 5.483271e+11 6.024564e+11 371495139778 276891722649 341666190993
 [4,] 7.600730e+11 8.342169e+11 516304297004 384493927296 472640775080
 [5,] 8.009814e+11 8.797249e+11 542451392030 404266774644 498853559145
 [6,] 7.007363e+11 7.698690e+11 473614907014 353109099172 436778283459
 [7,] 1.059793e+12 1.164072e+12 718885049941 535663918064 659945418858
 [8,] 8.004642e+11 8.793093e+11 541243067039 403473382293 498796376533
 [9,] 1.134610e+12 1.246130e+12 767684154669 572166651741 706723006900
[10,] 8.500811e+11 9.342766e+11 573804032190 427952334326 530260489802
[11,] 6.745129e+11 7.411924e+11 455935299443 339947818896 420536439337
[12,] 7.616770e+11 8.358438e+11 517479876225 385320006130 473502727883
[13,] 1.362407e+11 1.495870e+11  92156822862  68675139530  84824252560
[14,] 7.922186e+11 8.695614e+11 538609276587 401088413135 492618636840
[15,] 1.243421e+12 1.365988e+12 842438715842 627867040773 774622575947
[16,] 8.559676e+11 9.401037e+11 580868810368 432793918574 532916076257
[17,] 9.401037e+11 1.032104e+12 638388309697 475507354579 584883398856
[18,] 5.808688e+11 6.383883e+11 391912019008 292305802761 362347995901
[19,] 4.327939e+11 4.755074e+11 292305802761 217953147926 269807898661
[20,] 5.329161e+11 5.848834e+11 362347995901 269807898661 331317321914
[21,] 8.674089e+11 9.534627e+11 585362268969 436612216449 541211216465
[22,] 1.028393e+12 1.128908e+12 697708425015 519694132957 639776148044
[23,] 8.077172e+11 8.872385e+11 545515717888 406702014538 503374239063
[24,] 1.326829e+12 1.456780e+12 900777573579 670976648266 825582897088
[25,] 4.531654e+11 4.974468e+11 307917133023 229312406927 281840715377
[26,] 9.612584e+11 1.056379e+12 649106117765 484068676919 599505840286
[27,] 8.983919e+11 9.864031e+11 609429496256 454009455973 559104738056
[28,] 4.100347e+11 4.499083e+11 279362261641 207941348670 254741092457
[29,] 9.069567e+11 9.961652e+11 613668697594 457402395715 564978416061
[30,] 7.690429e+11 8.439211e+11 523871658567 389968586301 477870094037
                                                                      
 [1,] 6.109513e+11 7.229828e+11 5.685752e+11 9.327775e+11 318483949066
 [2,] 7.840062e+11 9.316168e+11 7.301096e+11 1.202506e+12 410849976213
 [3,] 5.547120e+11 6.589898e+11 5.168612e+11 8.502137e+11 290467067026
 [4,] 7.712711e+11 9.123574e+11 7.172943e+11 1.177546e+12 402042934440
 [5,] 8.102193e+11 9.618793e+11 7.543485e+11 1.241541e+12 424130523269
 [6,] 7.073882e+11 8.415551e+11 6.589296e+11 1.086392e+12 371248872366
 [7,] 1.073479e+12 1.273397e+12 9.997708e+11 1.642912e+12 561154390753
 [8,] 8.084672e+11 9.612245e+11 7.528702e+11 1.240914e+12 424014797853
 [9,] 1.146769e+12 1.362216e+12 1.067568e+12 1.758618e+12 600836796304
[10,] 8.569605e+11 1.021195e+12 7.987132e+11 1.318261e+12 450605421293
[11,] 6.808991e+11 8.103616e+11 6.344816e+11 1.045922e+12 357432565730
[12,] 7.730967e+11 9.140735e+11 7.187783e+11 1.179864e+12 402807939715
[13,] 1.376990e+11 1.634768e+11 1.281076e+11 2.111127e+11  72122916183
[14,] 8.044593e+11 9.512315e+11 7.483360e+11 1.227424e+12 419043369524
[15,] 1.258013e+12 1.493980e+12 1.171882e+12 1.927730e+12 658558924779
[16,] 8.674089e+11 1.028393e+12 8.077172e+11 1.326829e+12 453165367497
[17,] 9.534627e+11 1.128908e+12 8.872385e+11 1.456780e+12 497446833568
[18,] 5.853623e+11 6.977084e+11 5.455157e+11 9.007776e+11 307917133023
[19,] 4.366122e+11 5.196941e+11 4.067020e+11 6.709766e+11 229312406927
[20,] 5.412112e+11 6.397761e+11 5.033742e+11 8.255829e+11 281840715377
[21,] 8.741698e+11 1.042272e+12 8.149674e+11 1.345349e+12 459891360476
[22,] 1.042272e+12 1.234439e+12 9.695701e+11 1.593393e+12 544130078021
[23,] 8.149674e+11 9.695701e+11 7.587940e+11 1.252040e+12 427867967793
[24,] 1.345349e+12 1.593393e+12 1.252040e+12 2.056120e+12 702138077425
[25,] 4.598914e+11 5.441301e+11 4.278680e+11 7.021381e+11 239728896736
[26,] 9.694565e+11 1.154766e+12 9.034236e+11 1.490666e+12 509498764624
[27,] 9.102894e+11 1.078764e+12 8.471153e+11 1.392270e+12 475482704370
[28,] 4.172588e+11 4.922942e+11 3.879474e+11 6.351342e+11 216759203174
[29,] 9.166489e+11 1.088981e+12 8.534546e+11 1.405815e+12 480306232907
[30,] 7.824017e+11 9.234492e+11 7.276020e+11 1.191313e+12 406592325661
                                                                      
 [1,] 6.768854e+11 6.317016e+11 287950244608 6.381656e+11 5.401144e+11
 [2,] 8.690257e+11 8.138571e+11 372213264478 8.205869e+11 6.980789e+11
 [3,] 6.149176e+11 5.756033e+11 263055743771 5.806084e+11 4.933065e+11
 [4,] 8.543601e+11 7.973051e+11 363514720305 8.053333e+11 6.819322e+11
 [5,] 8.979733e+11 8.403577e+11 384093433305 8.476497e+11 7.203956e+11
 [6,] 7.842277e+11 7.351626e+11 336543432448 7.408876e+11 6.311511e+11
 [7,] 1.189728e+12 1.112379e+12 507873513216 1.122723e+12 9.524998e+11
 [8,] 8.961738e+11 8.397345e+11 384268351998 8.464145e+11 7.206931e+11
 [9,] 1.271024e+12 1.190185e+12 544321910161 1.200014e+12 1.020921e+12
[10,] 9.502944e+11 8.919823e+11 408768662772 8.983599e+11 7.665186e+11
[11,] 7.549351e+11 7.078273e+11 324033267496 7.133069e+11 6.076464e+11
[12,] 8.563133e+11 7.988927e+11 364157294075 8.069947e+11 6.831636e+11
[13,] 1.525963e+11 1.428618e+11  65336055364 1.440293e+11 1.225549e+11
[14,] 8.911306e+11 8.312221e+11 378766423376 8.399111e+11 7.105231e+11
[15,] 1.394465e+12 1.305061e+12 596380767435 1.316488e+12 1.118434e+12
[16,] 9.612584e+11 8.983919e+11 410034735336 9.069567e+11 7.690429e+11
[17,] 1.056379e+12 9.864031e+11 449908320328 9.961652e+11 8.439211e+11
[18,] 6.491061e+11 6.094295e+11 279362261641 6.136687e+11 5.238717e+11
[19,] 4.840687e+11 4.540095e+11 207941348670 4.574024e+11 3.899686e+11
[20,] 5.995058e+11 5.591047e+11 254741092457 5.649784e+11 4.778701e+11
[21,] 9.694565e+11 9.102894e+11 417258818870 9.166489e+11 7.824017e+11
[22,] 1.154766e+12 1.078764e+12 492294179721 1.088981e+12 9.234492e+11
[23,] 9.034236e+11 8.471153e+11 387947369237 8.534546e+11 7.276020e+11
[24,] 1.490666e+12 1.392270e+12 635134161478 1.405815e+12 1.191313e+12
[25,] 5.094988e+11 4.754827e+11 216759203174 4.803062e+11 4.065923e+11
[26,] 1.074935e+12 1.008621e+12 462078408154 1.016003e+12 8.665211e+11
[27,] 1.008621e+12 9.425478e+11 430235341792 9.514178e+11 8.070080e+11
[28,] 4.620784e+11 4.302353e+11 195716866016 4.351383e+11 3.671779e+11
[29,] 1.016003e+12 9.514178e+11 435138316764 9.593138e+11 8.161280e+11
[30,] 8.665211e+11 8.070080e+11 367177895240 8.161280e+11 6.888170e+11

Matrix^30

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                      
 [1,] 9.966249e+24 1.282927e+25 9.073809e+24 1.257998e+25 1.324958e+25
 [2,] 1.282927e+25 1.651482e+25 1.168049e+25 1.619385e+25 1.705586e+25
 [3,] 9.073809e+24 1.168049e+25 8.261303e+24 1.145349e+25 1.206316e+25
 [4,] 1.257998e+25 1.619385e+25 1.145349e+25 1.587917e+25 1.672439e+25
 [5,] 1.324958e+25 1.705586e+25 1.206316e+25 1.672439e+25 1.761463e+25
 [6,] 1.158603e+25 1.491444e+25 1.054858e+25 1.462456e+25 1.540305e+25
 [7,] 1.754122e+25 2.258036e+25 1.597049e+25 2.214155e+25 2.332012e+25
 [8,] 1.323575e+25 1.703808e+25 1.205058e+25 1.670693e+25 1.759626e+25
 [9,] 1.876252e+25 2.415255e+25 1.708246e+25 2.368314e+25 2.494381e+25
[10,] 1.405243e+25 1.808940e+25 1.279415e+25 1.773779e+25 1.868202e+25
[11,] 1.115424e+25 1.435861e+25 1.015546e+25 1.407953e+25 1.482901e+25
[12,] 1.260594e+25 1.622727e+25 1.147712e+25 1.591194e+25 1.675890e+25
[13,] 2.252318e+24 2.899356e+24 2.050637e+24 2.843007e+24 2.994342e+24
[14,] 1.311631e+25 1.688425e+25 1.194179e+25 1.655617e+25 1.743741e+25
[15,] 2.057441e+25 2.648493e+25 1.873209e+25 2.597021e+25 2.735260e+25
[16,] 1.416861e+25 1.823888e+25 1.289988e+25 1.788444e+25 1.883641e+25
[17,] 1.556075e+25 2.003093e+25 1.416735e+25 1.964168e+25 2.068717e+25
[18,] 9.600706e+24 1.235879e+25 8.741042e+24 1.211857e+25 1.276367e+25
[19,] 7.154230e+24 9.209487e+24 6.513623e+24 9.030485e+24 9.511195e+24
[20,] 8.822766e+24 1.135729e+25 8.032716e+24 1.113661e+25 1.172938e+25
[21,] 1.433937e+25 1.845878e+25 1.305539e+25 1.809998e+25 1.906349e+25
[22,] 1.701588e+25 2.190408e+25 1.549218e+25 2.147842e+25 2.262169e+25
[23,] 1.335006e+25 1.718524e+25 1.215466e+25 1.685122e+25 1.774824e+25
[24,] 2.196115e+25 2.827000e+25 1.999462e+25 2.772064e+25 2.919616e+25
[25,] 7.501711e+24 9.656742e+24 6.829961e+24 9.469094e+24 9.973112e+24
[26,] 1.589182e+25 2.045720e+25 1.446883e+25 2.005957e+25 2.112739e+25
[27,] 1.486630e+25 1.913700e+25 1.353509e+25 1.876510e+25 1.976395e+25
[28,] 6.791980e+24 8.743105e+24 6.183772e+24 8.573229e+24 9.029547e+24
[29,] 1.499848e+25 1.930719e+25 1.365546e+25 1.893195e+25 1.993971e+25
[30,] 1.273884e+25 1.639831e+25 1.159810e+25 1.607970e+25 1.693555e+25
                                                                      
 [1,] 1.158603e+25 1.754122e+25 1.323575e+25 1.876252e+25 1.405243e+25
 [2,] 1.491444e+25 2.258036e+25 1.703808e+25 2.415255e+25 1.808940e+25
 [3,] 1.054858e+25 1.597049e+25 1.205058e+25 1.708246e+25 1.279415e+25
 [4,] 1.462456e+25 2.214155e+25 1.670693e+25 2.368314e+25 1.773779e+25
 [5,] 1.540305e+25 2.332012e+25 1.759626e+25 2.494381e+25 1.868202e+25
 [6,] 1.346915e+25 2.039218e+25 1.538699e+25 2.181203e+25 1.633645e+25
 [7,] 2.039218e+25 3.087368e+25 2.329580e+25 3.302327e+25 2.473323e+25
 [8,] 1.538699e+25 2.329580e+25 1.757792e+25 2.491781e+25 1.866256e+25
 [9,] 2.181203e+25 3.302327e+25 2.491781e+25 3.532256e+25 2.645534e+25
[10,] 1.633645e+25 2.473323e+25 1.866256e+25 2.645534e+25 1.981414e+25
[11,] 1.296718e+25 1.963221e+25 1.481355e+25 2.099914e+25 1.572762e+25
[12,] 1.465474e+25 2.218723e+25 1.674140e+25 2.373201e+25 1.777439e+25
[13,] 2.618392e+24 3.964228e+24 2.991220e+24 4.240243e+24 3.175791e+24
[14,] 1.524805e+25 2.308552e+25 1.741920e+25 2.469284e+25 1.849401e+25
[15,] 2.391838e+25 3.621230e+25 2.732408e+25 3.873361e+25 2.901009e+25
[16,] 1.647142e+25 2.493766e+25 1.881676e+25 2.667395e+25 1.997781e+25
[17,] 1.808980e+25 2.738790e+25 2.066558e+25 2.929478e+25 2.194071e+25
[18,] 1.116116e+25 1.689789e+25 1.275038e+25 1.807446e+25 1.353715e+25
[19,] 8.317038e+24 1.259193e+25 9.501285e+24 1.346867e+25 1.008756e+25
[20,] 1.025669e+25 1.552862e+25 1.171713e+25 1.660978e+25 1.244011e+25
[21,] 1.667003e+25 2.523826e+25 1.904363e+25 2.699554e+25 2.021873e+25
[22,] 1.978144e+25 2.994902e+25 2.259809e+25 3.203423e+25 2.399246e+25
[23,] 1.551990e+25 2.349700e+25 1.772975e+25 2.513303e+25 1.882376e+25
[24,] 2.553045e+25 3.865302e+25 2.916569e+25 4.134423e+25 3.096531e+25
[25,] 8.720940e+24 1.320348e+25 9.962703e+24 1.412277e+25 1.057743e+25
[26,] 1.847479e+25 2.797067e+25 2.110538e+25 2.991819e+25 2.240769e+25
[27,] 1.728250e+25 2.616563e+25 1.974333e+25 2.798742e+25 2.096156e+25
[28,] 7.895835e+24 1.195430e+25 9.020114e+24 1.278659e+25 9.576669e+24
[29,] 1.743621e+25 2.639831e+25 1.991892e+25 2.823633e+25 2.114801e+25
[30,] 1.480920e+25 2.242113e+25 1.691787e+25 2.398217e+25 1.796173e+25
                                                                      
 [1,] 1.115424e+25 1.260594e+25 2.252318e+24 1.311631e+25 2.057441e+25
 [2,] 1.435861e+25 1.622727e+25 2.899356e+24 1.688425e+25 2.648493e+25
 [3,] 1.015546e+25 1.147712e+25 2.050637e+24 1.194179e+25 1.873209e+25
 [4,] 1.407953e+25 1.591194e+25 2.843007e+24 1.655617e+25 2.597021e+25
 [5,] 1.482901e+25 1.675890e+25 2.994342e+24 1.743741e+25 2.735260e+25
 [6,] 1.296718e+25 1.465474e+25 2.618392e+24 1.524805e+25 2.391838e+25
 [7,] 1.963221e+25 2.218723e+25 3.964228e+24 2.308552e+25 3.621230e+25
 [8,] 1.481355e+25 1.674140e+25 2.991220e+24 1.741920e+25 2.732408e+25
 [9,] 2.099914e+25 2.373201e+25 4.240243e+24 2.469284e+25 3.873361e+25
[10,] 1.572762e+25 1.777439e+25 3.175791e+24 1.849401e+25 2.901009e+25
[11,] 1.248392e+25 1.410858e+25 2.520810e+24 1.467979e+25 2.302699e+25
[12,] 1.410858e+25 1.594478e+25 2.848874e+24 1.659033e+25 2.602380e+25
[13,] 2.520810e+24 2.848874e+24 5.090136e+23 2.964214e+24 4.649717e+24
[14,] 1.467979e+25 1.659033e+25 2.964214e+24 1.726202e+25 2.707741e+25
[15,] 2.302699e+25 2.602380e+25 4.649717e+24 2.707741e+25 4.247407e+25
[16,] 1.585756e+25 1.792134e+25 3.202033e+24 1.864692e+25 2.924983e+25
[17,] 1.741563e+25 1.968221e+25 3.516648e+24 2.047908e+25 3.212376e+25
[18,] 1.074521e+25 1.214357e+25 2.169720e+24 1.263522e+25 1.981987e+25
[19,] 8.007080e+24 9.049118e+24 1.616826e+24 9.415484e+24 1.476931e+25
[20,] 9.874447e+24 1.115959e+25 1.993896e+24 1.161141e+25 1.821378e+25
[21,] 1.604877e+25 1.813732e+25 3.240638e+24 1.887164e+25 2.960245e+25
[22,] 1.904422e+25 2.152275e+25 3.845501e+24 2.239413e+25 3.512775e+25
[23,] 1.494151e+25 1.688599e+25 3.017056e+24 1.756964e+25 2.756008e+25
[24,] 2.457898e+25 2.777784e+25 4.963106e+24 2.890248e+25 4.533681e+25
[25,] 8.395928e+24 9.488634e+24 1.695346e+24 9.872799e+24 1.548660e+25
[26,] 1.778627e+25 2.010096e+25 3.591484e+24 2.091478e+25 3.280734e+25
[27,] 1.663842e+25 1.880383e+25 3.359708e+24 1.956513e+25 3.069014e+25
[28,] 7.601572e+24 8.590923e+24 1.534947e+24 8.938744e+24 1.402139e+25
[29,] 1.678640e+25 1.897101e+25 3.389587e+24 1.973909e+25 3.096307e+25
[30,] 1.425729e+25 1.611288e+25 2.878903e+24 1.676524e+25 2.629812e+25
                                                                      
 [1,] 1.416861e+25 1.556075e+25 9.600706e+24 7.154230e+24 8.822766e+24
 [2,] 1.823888e+25 2.003093e+25 1.235879e+25 9.209487e+24 1.135729e+25
 [3,] 1.289988e+25 1.416735e+25 8.741042e+24 6.513623e+24 8.032716e+24
 [4,] 1.788444e+25 1.964168e+25 1.211857e+25 9.030485e+24 1.113661e+25
 [5,] 1.883641e+25 2.068717e+25 1.276367e+25 9.511195e+24 1.172938e+25
 [6,] 1.647142e+25 1.808980e+25 1.116116e+25 8.317038e+24 1.025669e+25
 [7,] 2.493766e+25 2.738790e+25 1.689789e+25 1.259193e+25 1.552862e+25
 [8,] 1.881676e+25 2.066558e+25 1.275038e+25 9.501285e+24 1.171713e+25
 [9,] 2.667395e+25 2.929478e+25 1.807446e+25 1.346867e+25 1.660978e+25
[10,] 1.997781e+25 2.194071e+25 1.353715e+25 1.008756e+25 1.244011e+25
[11,] 1.585756e+25 1.741563e+25 1.074521e+25 8.007080e+24 9.874447e+24
[12,] 1.792134e+25 1.968221e+25 1.214357e+25 9.049118e+24 1.115959e+25
[13,] 3.202033e+24 3.516648e+24 2.169720e+24 1.616826e+24 1.993896e+24
[14,] 1.864692e+25 2.047908e+25 1.263522e+25 9.415484e+24 1.161141e+25
[15,] 2.924983e+25 3.212376e+25 1.981987e+25 1.476931e+25 1.821378e+25
[16,] 2.014295e+25 2.212209e+25 1.364896e+25 1.017090e+25 1.254296e+25
[17,] 2.212209e+25 2.429570e+25 1.499003e+25 1.117023e+25 1.377538e+25
[18,] 1.364896e+25 1.499003e+25 9.248666e+24 6.891887e+24 8.499155e+24
[19,] 1.017090e+25 1.117023e+25 6.891887e+24 5.135672e+24 6.333381e+24
[20,] 1.254296e+25 1.377538e+25 8.499155e+24 6.333381e+24 7.810482e+24
[21,] 2.038574e+25 2.238872e+25 1.381357e+25 1.029354e+25 1.269412e+25
[22,] 2.419079e+25 2.656765e+25 1.639180e+25 1.221480e+25 1.506355e+25
[23,] 1.897927e+25 2.084406e+25 1.286051e+25 9.583353e+24 1.181832e+25
[24,] 3.122128e+25 3.428893e+25 2.115569e+25 1.576474e+25 1.944142e+25
[25,] 1.066488e+25 1.171276e+25 7.226563e+24 5.385072e+24 6.640998e+24
[26,] 2.259280e+25 2.481263e+25 1.530908e+25 1.140796e+25 1.406845e+25
[27,] 2.113482e+25 2.321142e+25 1.432107e+25 1.067173e+25 1.316060e+25
[28,] 9.655872e+24 1.060462e+25 6.542837e+24 4.875579e+24 6.012701e+24
[29,] 2.132275e+25 2.341781e+25 1.444845e+25 1.076665e+25 1.327761e+25
[30,] 1.811027e+25 1.988971e+25 1.227156e+25 9.144495e+24 1.127724e+25
                                                                      
 [1,] 1.433937e+25 1.701588e+25 1.335006e+25 2.196115e+25 7.501711e+24
 [2,] 1.845878e+25 2.190408e+25 1.718524e+25 2.827000e+25 9.656742e+24
 [3,] 1.305539e+25 1.549218e+25 1.215466e+25 1.999462e+25 6.829961e+24
 [4,] 1.809998e+25 2.147842e+25 1.685122e+25 2.772064e+25 9.469094e+24
 [5,] 1.906349e+25 2.262169e+25 1.774824e+25 2.919616e+25 9.973112e+24
 [6,] 1.667003e+25 1.978144e+25 1.551990e+25 2.553045e+25 8.720940e+24
 [7,] 2.523826e+25 2.994902e+25 2.349700e+25 3.865302e+25 1.320348e+25
 [8,] 1.904363e+25 2.259809e+25 1.772975e+25 2.916569e+25 9.962703e+24
 [9,] 2.699554e+25 3.203423e+25 2.513303e+25 4.134423e+25 1.412277e+25
[10,] 2.021873e+25 2.399246e+25 1.882376e+25 3.096531e+25 1.057743e+25
[11,] 1.604877e+25 1.904422e+25 1.494151e+25 2.457898e+25 8.395928e+24
[12,] 1.813732e+25 2.152275e+25 1.688599e+25 2.777784e+25 9.488634e+24
[13,] 3.240638e+24 3.845501e+24 3.017056e+24 4.963106e+24 1.695346e+24
[14,] 1.887164e+25 2.239413e+25 1.756964e+25 2.890248e+25 9.872799e+24
[15,] 2.960245e+25 3.512775e+25 2.756008e+25 4.533681e+25 1.548660e+25
[16,] 2.038574e+25 2.419079e+25 1.897927e+25 3.122128e+25 1.066488e+25
[17,] 2.238872e+25 2.656765e+25 2.084406e+25 3.428893e+25 1.171276e+25
[18,] 1.381357e+25 1.639180e+25 1.286051e+25 2.115569e+25 7.226563e+24
[19,] 1.029354e+25 1.221480e+25 9.583353e+24 1.576474e+25 5.385072e+24
[20,] 1.269412e+25 1.506355e+25 1.181832e+25 1.944142e+25 6.640998e+24
[21,] 2.063159e+25 2.448236e+25 1.920813e+25 3.159759e+25 1.079341e+25
[22,] 2.448236e+25 2.905207e+25 2.279326e+25 3.749538e+25 1.280805e+25
[23,] 1.920813e+25 2.279326e+25 1.788289e+25 2.941759e+25 1.004875e+25
[24,] 3.159759e+25 3.749538e+25 2.941759e+25 4.839255e+25 1.653041e+25
[25,] 1.079341e+25 1.280805e+25 1.004875e+25 1.653041e+25 5.646625e+24
[26,] 2.286524e+25 2.713294e+25 2.128768e+25 3.501849e+25 1.196195e+25
[27,] 2.138957e+25 2.538199e+25 1.991385e+25 3.275868e+25 1.119003e+25
[28,] 9.772213e+24 1.159628e+25 9.098012e+24 1.496647e+25 5.112401e+24
[29,] 2.157983e+25 2.560768e+25 2.009097e+25 3.304996e+25 1.128953e+25
[30,] 1.832848e+25 2.174964e+25 1.706397e+25 2.807068e+25 9.588670e+24
                                                                      
 [1,] 1.589182e+25 1.486630e+25 6.791980e+24 1.499848e+25 1.273884e+25
 [2,] 2.045720e+25 1.913700e+25 8.743105e+24 1.930719e+25 1.639831e+25
 [3,] 1.446883e+25 1.353509e+25 6.183772e+24 1.365546e+25 1.159810e+25
 [4,] 2.005957e+25 1.876510e+25 8.573229e+24 1.893195e+25 1.607970e+25
 [5,] 2.112739e+25 1.976395e+25 9.029547e+24 1.993971e+25 1.693555e+25
 [6,] 1.847479e+25 1.728250e+25 7.895835e+24 1.743621e+25 1.480920e+25
 [7,] 2.797067e+25 2.616563e+25 1.195430e+25 2.639831e+25 2.242113e+25
 [8,] 2.110538e+25 1.974333e+25 9.020114e+24 1.991892e+25 1.691787e+25
 [9,] 2.991819e+25 2.798742e+25 1.278659e+25 2.823633e+25 2.398217e+25
[10,] 2.240769e+25 2.096156e+25 9.576669e+24 2.114801e+25 1.796173e+25
[11,] 1.778627e+25 1.663842e+25 7.601572e+24 1.678640e+25 1.425729e+25
[12,] 2.010096e+25 1.880383e+25 8.590923e+24 1.897101e+25 1.611288e+25
[13,] 3.591484e+24 3.359708e+24 1.534947e+24 3.389587e+24 2.878903e+24
[14,] 2.091478e+25 1.956513e+25 8.938744e+24 1.973909e+25 1.676524e+25
[15,] 3.280734e+25 3.069014e+25 1.402139e+25 3.096307e+25 2.629812e+25
[16,] 2.259280e+25 2.113482e+25 9.655872e+24 2.132275e+25 1.811027e+25
[17,] 2.481263e+25 2.321142e+25 1.060462e+25 2.341781e+25 1.988971e+25
[18,] 1.530908e+25 1.432107e+25 6.542837e+24 1.444845e+25 1.227156e+25
[19,] 1.140796e+25 1.067173e+25 4.875579e+24 1.076665e+25 9.144495e+24
[20,] 1.406845e+25 1.316060e+25 6.012701e+24 1.327761e+25 1.127724e+25
[21,] 2.286524e+25 2.138957e+25 9.772213e+24 2.157983e+25 1.832848e+25
[22,] 2.713294e+25 2.538199e+25 1.159628e+25 2.560768e+25 2.174964e+25
[23,] 2.128768e+25 1.991385e+25 9.098012e+24 2.009097e+25 1.706397e+25
[24,] 3.501849e+25 3.275868e+25 1.496647e+25 3.304996e+25 2.807068e+25
[25,] 1.196195e+25 1.119003e+25 5.112401e+24 1.128953e+25 9.588670e+24
[26,] 2.534072e+25 2.370531e+25 1.083021e+25 2.391616e+25 2.031282e+25
[27,] 2.370531e+25 2.217554e+25 1.013134e+25 2.237273e+25 1.900205e+25
[28,] 1.083021e+25 1.013134e+25 4.628728e+24 1.022141e+25 8.681504e+24
[29,] 2.391616e+25 2.237273e+25 1.022141e+25 2.257170e+25 1.917098e+25
[30,] 2.031282e+25 1.900205e+25 8.681504e+24 1.917098e+25 1.628277e+25

E) Radius, Diameter and Girth

Eccentricity

 [1] 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 2 2 2 3 3 3 3 3 3

Radius

[1] 2

Diameter

[1] 4

Girth

$girth
[1] 3

$circle
+ 3/30 vertices, from 16c2e1d:
[1]  9  1 17

F) Density

Density

[1] 0.2436782

G) Induced Graph

A)erdosRenyi Graph With Direction

B)Transposed

C)Subdivision Graph

---

+ 208/208 edges from 1965a79:
  [1] 14->31 31-> 1 25->32 32-> 1  2->33 33->30 11->34 34-> 2 24->35 35-> 2
 [11]  7->36 36-> 3  9->37 37-> 3 18->38 38-> 3  2->39 39-> 4 10->40 40-> 4
 [21] 28->41 41-> 4 30->42 42-> 4  1->43 43-> 5  3->44 44-> 5  7->45 45-> 5
 [31] 10->46 46-> 5 16->47 47-> 5 21->48 48-> 5 27->49 49-> 5  9->50 50-> 6
 [41] 12->51 51-> 6 14->52 52-> 6 23->53 53-> 6 26->54 54-> 6 27->55 55-> 6
 [51]  3->56 56-> 7  6->57 57-> 7  1->58 58-> 8  2->59 59-> 8  8->60 60->30
 [61] 13->61 61-> 8 26->62 62-> 8 28->63 63-> 8  1->64 64-> 9  3->65 65-> 9
 [71]  5->66 66-> 9 11->67 67-> 9 24->68 68-> 9 27->69 69-> 9  1->70 70->10
 [81]  3->71 71->10  8->72 72->10 29->73 73->10  7->74 74->11 22->75 75->11
 [91] 29->76 76->11 30->77 77->11  2->78 78->12  9->79 79->12 20->80 80->12
+ ... omitted several edges

D)Hamiltonian Cycle

 [1]  1 14  6  9  3  7  5 10  4  2 30 11 22 18 16 25 19 21 12 20 23 13 29
[24] 15 17 26 27 24 28  8

E)Adjecency Matrix

30 x 30 sparse Matrix of class "dgCMatrix"
                                                                 
 [1,] . . . . 1 . . 1 1 1 . . . . . . . . . . . . . . . . . . . .
 [2,] . . . 1 . . . 1 . . . 1 . . . . . . . . . . 1 1 . . . . . 1
 [3,] . . . . 1 . 1 . 1 1 . . . . . . . . . . . . . . . . . . . .
 [4,] . . . . . . . . . . . . 1 . 1 . . . . . . . . . . . 1 . . .
 [5,] . . . . . . . . 1 . . . . . . 1 . . . . . . . . . . . . . .
 [6,] . . . . . . 1 . . . . . 1 . . . . . . . . . . . . . . . . .
 [7,] . . 1 . 1 . . . . . 1 . . . . . . . 1 . . . . . . . . 1 . .
 [8,] . . . . . . . . . 1 . . . . . . . . . . . . 1 . . . . . 1 1
 [9,] . . 1 . . 1 . . . . . 1 . . . . . . . . . . . . . 1 . . . .
[10,] . . . 1 1 . . . . . . . . . . . . . . . 1 . . . . 1 . . . .
[11,] . 1 . . . . . . 1 . . . 1 . . . . . . . 1 1 . . . . . . . .
[12,] . . . . . 1 . . . . . . . . . . . 1 . . 1 . . . . . . . . .
[13,] . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . 1 .
[14,] 1 . . . . 1 . . . . . . . . 1 . . . . . . . . . . . . . . .
[15,] . . . . . . . . . . . . . . . . 1 . . . . . . . . . . . 1 .
[16,] . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . .
[17,] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
[18,] . . 1 . . . . . . . . . . . . 1 . . 1 . . 1 1 . . . . . . .
[19,] . . . . . . . . . . . . . 1 . . . . . . . . . 1 1 . . . . 1
[20,] . . . . . . . . . . . 1 . . . . . 1 . . . . . . . . . . . .
[21,] . . . . 1 . . . . . . . . . 1 . 1 . 1 . . . 1 . . . . . . .
[22,] . . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . 1
[23,] . . . . . 1 . . . . . . 1 . . . . . . 1 . . . . . . . . 1 .
[24,] . 1 . . . . . . 1 . . . . . . . . . . . . . . . . . 1 1 . .
[25,] 1 . . . . . . . . . . . . . . 1 . 1 1 . . . . . . . . . . .
[26,] . . . . . 1 . 1 . . . . . . . . 1 . . . . . . . . . . . . .
[27,] . . . . 1 1 . . 1 . . . . 1 . . . . . . . . . . . 1 . . . .
[28,] . . . 1 . . . 1 . . . . . . . . . . . . . . . . 1 . . . . .
[29,] . . . . . . . . . 1 1 . . . 1 . . . . . . . . . 1 1 . . . .
[30,] . . . 1 . . . . . . 1 . . . . . . 1 . . . . 1 . . . . . . .

F)Radius, Diameter and Girth

Eccentricity

 [1] 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3

Radius

[1] 2

Diameter

[1] 7

Girth

$girth
[1] 3

$circle
+ 3/30 vertices, from 1844b87:
[1] 5 1 9

G)Induced Graph

A)erdosRenyi Graph With Direction and wieght

      [,1] [,2] [,3]
 [1,]    3    1   61
 [2,]    6    1   13
 [3,]   12    1    1
 [4,]   17    1   29
 [5,]   22    1   48
 [6,]    3    2   45
 [7,]    5    2   37
 [8,]    3   30   10
 [9,]   11    3   76
[10,]   14    3   40
[11,]   27    3   96
[12,]   28    3   49
[13,]   16    4   12
[14,]   24    5   17
[15,]   28    5    7
[16,]   10    6   13
[17,]    2    7   90
[18,]   16    7   15
[19,]   18    7   54
[20,]   26    7   50
[21,]   11    8   18
[22,]   15    8   40
[23,]   20    8   49
[24,]    2    9   29
[25,]   11    9   45
[26,]   21    9   31
[27,]   14   10   45
[28,]   20   11   72
[29,]   12   30   78
[30,]   29   12   90
[31,]    3   13   56
[32,]    7   13   35
[33,]    8   13   46
[34,]   16   13   16
[35,]    6   14   98
[36,]    8   14   21
[37,]   10   14    5
[38,]   11   14   83
[39,]   14   30   40
[40,]   22   14   14
[41,]    2   15   58
[42,]   25   15   40
[43,]   16   17    2
[44,]   21   17   96
[45,]   26   17   65
[46,]    1   18   40
[47,]    6   18   65
[48,]   18   30   64
[49,]   25   18   63
[50,]   25   19   20
[51,]   28   19    0
[52,]   22   20   28
[53,]   25   20   82
[54,]    2   21   50
[55,]    4   21   50
[56,]    5   21   67
[57,]    7   21   16
[58,]   29   21   25
[59,]    3   22    9
[60,]    8   22   35
[61,]   16   22   84
[62,]   21   22   70
[63,]   25   22   42
[64,]    4   23   13
[65,]   13   23    6
[66,]   23   30   73
[67,]   26   23   54
[68,]   28   23   76
[69,]    4   24   19
[70,]   12   24   81
[71,]   13   24   47
[72,]   17   24   87
[73,]   18   24   86
[74,]    9   25   55
[75,]   14   25    9
[76,]   27   25    1
[77,]    2   26   34
[78,]    4   26   79
[79,]   14   26   38
[80,]   25   26    2
[81,]   26   30   43
[82,]    3   27   17
[83,]   14   27   88
[84,]   19   27   39
[85,]   13   28   61
[86,]   16   28   64
[87,]   19   28   30
[88,]   21   28   32
[89,]   27   28   25
[90,]    2   29   36
[91,]    3   29   38
[92,]    5   29    5
[93,]    9   29   36
[94,]   15   29   44
[95,]   23   29   90
[96,]   28   29   69
[97,]   29   30   76

B)subGraph

      [,1] [,2] [,3]
 [1,]    6    1   13
 [2,]   12    1    1
 [3,]   17    1   29
 [4,]    3   30   10
 [5,]   16    4   12
 [6,]   24    5   17
 [7,]   28    5    7
 [8,]   10    6   13
 [9,]   16    7   15
[10,]   11    8   18
[11,]    2    9   29
[12,]   16   13   16
[13,]    8   14   21
[14,]   10   14    5
[15,]   22   14   14
[16,]   16   17    2
[17,]   25   19   20
[18,]   28   19    0
[19,]   22   20   28
[20,]    7   21   16
[21,]   29   21   25
[22,]    3   22    9
[23,]    4   23   13
[24,]   13   23    6
[25,]    4   24   19
[26,]   14   25    9
[27,]   27   25    1
[28,]   25   26    2
[29,]    3   27   17
[30,]   27   28   25
[31,]    5   29    5

C)MST

      [,1] [,2] [,3]
 [1,]    6    1   13
 [2,]   12    1    1
 [3,]    3   30   10
 [4,]   16    4   12
 [5,]   24    5   17
 [6,]   28    5    7
 [7,]   10    6   13
 [8,]   16    7   15
 [9,]   11    8   18
[10,]    2    9   29
[11,]   21    9   31
[12,]    8   14   21
[13,]   10   14    5
[14,]   22   14   14
[15,]   25   15   40
[16,]   16   17    2
[17,]    1   18   40
[18,]   25   19   20
[19,]   28   19    0
[20,]   22   20   28
[21,]    7   21   16
[22,]    3   22    9
[23,]    4   23   13
[24,]   13   23    6
[25,]    4   24   19
[26,]   14   25    9
[27,]   27   25    1
[28,]   25   26    2
[29,]    5   29    5

D) Radius, Diameter, Girth

Eccentricity

 [1] 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3

Radius

[1] 2

Diameter

[1] 112

Girth

$girth
[1] 3

$circle
+ 3/30 vertices, from 1e5d919:
[1]  3  1 22

A) Multi Graph